Title :
Compatibility-based ranking of fuzzy numbers
Author :
Setnes, M. ; Cross, V.
Author_Institution :
Control Lab., Delft Univ. of Technol., Netherlands
Abstract :
A general approach to the ranking of n fuzzy numbers by applying fuzzy compatibility measures and the fuzzy minimum and fuzzy maximum operators is described. In an n×n binary fuzzy ranking relation the ranking of the fuzzy numbers A and B is based on the combined evidence that A is smaller than B and B is larger than A. From the fuzzy ranking a total ordering can be obtained for the n fuzzy numbers. The ranking method with two different compatibility measures; one from the set-theoretic class and another from the distance-based class, is applied to a case study from the literature and the results analyzed
Keywords :
fuzzy logic; fuzzy set theory; binary fuzzy ranking relation; case study; compatibility-based ranking; distance-based class; fuzzy compatibility measures; fuzzy maximum operator; fuzzy minimum operator; fuzzy number ranking; fuzzy set theory; total ordering; Cost function; Councils; Decision making; Fuzzy control; Fuzzy sets; Laboratories; Lattices;
Conference_Titel :
Fuzzy Information Processing Society, 1997. NAFIPS '97., 1997 Annual Meeting of the North American
Conference_Location :
Syracuse, NY
Print_ISBN :
0-7803-4078-7
DOI :
10.1109/NAFIPS.1997.624057
